In How Many Different Ways The Letter Of Words Optical Can Be Arrange

1.	In How Many Different Ways The Letter Of Words Optical Can Be Arranged So That All The Consonants Come Together?
Answer» The word OPTICAL has 7 letters which have 4 consonants PTCL, so if all consonants ALWAYS come together then, OPTICAL can be arranged as (PTCL) OIA, where all consonants can be CONSIDERED as a single letter Hence we can arrange it in !4 WAYS = 4321= 24 ways Again PTCL also arrange in !4 ways= 4321= 24 ways So total no of ways OPTICAL letters can be arranged = 2424= 576. The word OPTICAL has 7 letters which have 4 consonants PTCL, so if all consonants always come together then, OPTICAL can be arranged as (PTCL) OIA, where all consonants can be considered as a single letter Hence we can arrange it in !4 ways = 4321= 24 ways Again PTCL also arrange in !4 ways= 4321= 24 ways So total no of ways OPTICAL letters can be arranged = 2424= 576.

In How Many Different Ways The Letter Of Words Optical Can Be Arranged So That All The Consonants Come Together?

Answer»

The word OPTICAL has 7 letters which have 4 consonants PTCL, so if all consonants ALWAYS come together then,

OPTICAL can be arranged as (PTCL) OIA, where all consonants can be CONSIDERED as a single letter

Hence we can arrange it in !4 WAYS = 4*3*2*1= 24 ways

Again PTCL also arrange in !4 ways= 4*3*2*1= 24 ways

So total no of ways OPTICAL letters can be arranged = 24*24= 576.

The word OPTICAL has 7 letters which have 4 consonants PTCL, so if all consonants always come together then,

OPTICAL can be arranged as (PTCL) OIA, where all consonants can be considered as a single letter

Hence we can arrange it in !4 ways = 4*3*2*1= 24 ways

Again PTCL also arrange in !4 ways= 4*3*2*1= 24 ways

So total no of ways OPTICAL letters can be arranged = 24*24= 576.

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